Details

Time bar (total: 11.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
34011
46011
57811
69311
710911
811611
911911
done11911

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
158.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
56.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.2s

Counts
936 → 936
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0100949986
1161744871
done500038853

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
2.8b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
17.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
18.0ms
(* t (/ 1 (- 1.0 z)))
32.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
39.0ms
(* t (/ 1 (- 1.0 z)))
48.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify913.0ms

Counts
197 → 197
Iterations

Useful iterations: done (903.0ms)

IterNodesCost
02843347
16222768
220422527
done50002521

prune445.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
2.8b
(* (fma y (/ 1 z) (- (/ t (- 1.0 z)))) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
3.0ms
(* (fma y (/ 1 z) (- (/ t (- 1.0 z)))) x)

series173.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ t (- 1.0 z))
35.0ms
(/ t (- 1.0 z))
51.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
45.0ms
(* (fma y (/ 1 z) (- (/ t (- 1.0 z)))) x)

simplify1.6s

Counts
120 → 120
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01421479
12931428
28641239
337601219
done50011217

prune410.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
2.8b
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
13×pow1
9×associate-*r* associate-*l*
8×add-exp-log pow1/3
6×swap-sqr add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
3.0ms
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))) x)

series766.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
180.0ms
(cbrt z)
207.0ms
(* (cbrt z) (cbrt z))
198.0ms
(* (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))) x)

simplify2.4s

Counts
100 → 100
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01131053
1216895
2719805
33819740
done5000635

prune336.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 4.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
done1613

end0.0ms

sample538.0ms

Algorithm
intervals
Results
295.0ms10012×body80valid